An Onofri-type Inequality on the Sphere with Two Conical Singularities

作者：Zhou, Chunqiu^*

来源：Canadian Mathematical Bulletin, 2012, 55(3): 663-672.

DOI：10.4153/CMB-2011-115-4

In this paper, we give a new proof of the Onofri-type inequality
integral(s) e(2u) ds(2) <= 4 pi(beta 1) exp{1/4 pi(beta 1) integral(s) vertical bar del u vertical bar(2) ds(2) 1/2 pi(beta 1) integral(s) u ds(2)}
on the sphere S with Gaussian curvature 1 and with conical singularities divisor A = beta . p(1) beta . p(2) for beta epsilon (-1, 0); here p(1) and p(2) are antipodal.

• 出版日期2012-9
• 单位上海交通大学